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Finding the Fourth Proportional to 105,244.33, 157,891.16 and 71,980.06

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Solution

The fourth proportional to 105,244.33, 157,891.16 and 71,980.06 is: 107,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,244.33 : 157,891.16 = 71,980.06 : x
  2. Step 2: Convert to fraction form
    105,244.33/157,891.16 = 71,980.06/x
  3. Step 3: Cross multiply
    105,244.33x = 157,891.16 × 71,980.06
  4. Step 4: Simplify right side
    105,244.33x = 11,365,015,170.27
  5. Step 5: Solve for x
    x = 11,365,015,170.27/105,244.33
  6. Step 6: Final answer
    x = 107,986.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.